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Finding the Fourth Proportional to 297,968.76, 411,190.92 and 162,005.40

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Solution

The fourth proportional to 297,968.76, 411,190.92 and 162,005.40 is: 223,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,968.76 : 411,190.92 = 162,005.40 : x
  2. Step 2: Convert to fraction form
    297,968.76/411,190.92 = 162,005.40/x
  3. Step 3: Cross multiply
    297,968.76x = 411,190.92 × 162,005.40
  4. Step 4: Simplify right side
    297,968.76x = 66,615,149,470.97
  5. Step 5: Solve for x
    x = 66,615,149,470.97/297,968.76
  6. Step 6: Final answer
    x = 223,564.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.